Canonical equiaffine hypersurfaces in \(\mathbb{R}^{n+1}\)

DOI10.1007/BF02572426zbMath0797.53004OpenAlexW2088996357MaRDI QIDQ1323428

Chang Ping Wang

Publication date: 10 May 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174588

zbMATH Keywords

Blaschke metriccubic formaffine hypersphere

Mathematics Subject Classification ID

Affine differential geometry (53A15) Canonical forms, reductions, classification (15A21)

Related Items (13)

On Lorentzian Einstein affine hyperspheres ⋮ Conformally flat affine hypersurfaces with semi-parallel cubic form ⋮ Locally strongly convex affine hypersurfaces with semi-parallel cubic form ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ On conformally flat affine hypersurfaces with pseudo-parallel cubic form ⋮ A new characterization of Calabi composition of hyperbolic affine hyperspheres ⋮ Affine hypersurfaces with parallel difference tensor relative to affine \(\alpha\)-connection ⋮ The generalized Cayley hypersurfaces and their geometrical characterization ⋮ On the equiaffine symmetric hyperspheres ⋮ Lorentzian affine hypersurfaces with parallel cubic form ⋮ The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form ⋮ Lorentzian affine hyperspheres with constant affine sectional curvature ⋮ The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form

Cites Work

• Calabi conjecture on hyperbolic affine hyperspheres
• Affine hypersurfaces with parallel cubic forms
• Flat affine spheres in \(R^ 3\)
• Uniqueness theorems in affine differential geometry. II
• Local classification of twodimensional affine spheres with constant curvature metric
• Cayley surfaces in affine differential geometry
• Zur affinen Differentialgeometrie im Großen. II: Über eine Abschätzung der Invariante auf Affinsphären
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Affine spheres with constant affine sectional curvature
• Some theorems in affine differential geometry
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• Affine 3-Spheres with Constant Affine Curvature
• Hyperbolic affine hyperspheres
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